1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vikentia [17]
2 years ago
11

What is the perimeter of this quadrilateral? (5,5) (2, 4) (4, 1) (6, 1)

Mathematics
1 answer:
lbvjy [14]2 years ago
8 0

~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{5}~,~\stackrel{y_1}{5})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{4}) ~\hfill AB=\sqrt{[ 2- 5]^2 + [ 4- 5]^2} \\\\\\ AB=\sqrt{(-3)^2+(-1)^2}\implies \boxed{AB=\sqrt{10}} \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{1}) ~\hfill BC=\sqrt{[ 4- 2]^2 + [ 1- 4]^2}

BC=\sqrt{2^2+(-3)^2}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ C(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad D(\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) ~\hfill CD=\sqrt{[ 6- 4]^2 + [ 1- 1]^2} \\\\\\ CD=\sqrt{2^2+0^2}\implies \boxed{CD=2} \\\\[-0.35em] ~\dotfill\\\\ D(\stackrel{x_1}{6}~,~\stackrel{y_1}{1})\qquad A(\stackrel{x_2}{5}~,~\stackrel{y_2}{5}) ~\hfill DA=\sqrt{[ 5- 6]^2 + [ 5- 1]^2}

DA=\sqrt{(-1)^2+4^2}\implies \boxed{DA=\sqrt{17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{\sqrt{10}~~ + ~~\sqrt{13}~~ + ~~2~~ + ~~\sqrt{17}}~~ \approx ~~ 12.89

You might be interested in
What is the solution to this equation?
tresset_1 [31]

Answer:

x = 9

Step-by-step explanation:

First, we want to isolate variable x on the left side of the equation. We can do this by adding 13 to both sides.

x - 13 + 13 = - 4 + 13

x = 9

8 0
3 years ago
Read 2 more answers
If you drive 8 miles south then make a left turn and drive 6 miles east how far are you in a straight line from your starting po
olganol [36]

Answer:

10 miles

Step-by-step explanation:

d=√8²+6²=√100= 10 miles

4 0
2 years ago
The class sizes of the Introductory Psychology courses at a college are shown below.
Ganezh [65]

Answer:

can u send a lic of the acc question

8 0
2 years ago
Read 2 more answers
Solve for j<br> 9j=19+8j
charle [14.2K]

Answer: The answer would be j=19

6 0
2 years ago
Read 2 more answers
What is the least common multiple of 9 and 12
guajiro [1.7K]
The least common multiple (or LCM) of 9 and 12 is 36
8 0
3 years ago
Read 2 more answers
Other questions:
  • -Select all that apply.
    14·1 answer
  • If f(x) = -x³ + x² + x, find f(-3).
    14·2 answers
  • 3. Sandwich shop customers can choose the bread and meat they want.
    12·1 answer
  • If m = 6 , and ( x , y ) = ( − 1 , − 3 ) , solve y = m x + b for b .
    7·1 answer
  • Using similar triangles to find an unknown value. What is the value of x?
    8·1 answer
  • When two lines have different slopes, the graphs of the equations are _________
    13·1 answer
  • Find an equation for the line below
    14·2 answers
  • If WV is a midsegment of STU, find SU. <br> A 4<br> B 5<br> C 8<br> D 10
    6·1 answer
  • On Friday, Carlotta had 6/8 of her paper left to write. She wrote 2/6 of the paper on Saturday and ¼ of the paper on Sunday. At
    13·1 answer
  • Norman plants a garden each
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!